A piano in a room has depth. How BIG is the church and how big is the room? Once you can sense that, you know your can be happy about your system’s ability to reproduce depth.Very good remarks...
The answer to the OP: Phase. Do phase well (especially out of phase information) and you get "depth."
I concluded that my acoustic treatment and control were right when i was able to hear this difference between the relative size of different recording live location, being it a small room or a church, i will add with the same perfect imaging in the 2 case...
Doing phase right for me was by listening experiments installing different acoustic devices or surfaces to make the waves timing with one another.... That ask for some balance between reflective, absorbing and diffusive surface....But also using resonators of different size....